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Finding the Third Proportional to 388.25 and 848.50

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Solution

The third proportional to 388.25 and 848.50 is: 1,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.25 : 848.50 = 848.50 : x
  2. Step 2: Convert to fraction form
    388.25/848.50 = 848.50/x
  3. Step 3: Cross multiply
    388.25x = 848.50 × 848.50
  4. Step 4: Simplify right side
    388.25x = 719,952.25
  5. Step 5: Solve for x
    x = 719,952.25/388.25
  6. Step 6: Final answer
    x = 1,854.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.